Find the cross product atimes b and verify that it is orthogonal to both a and b. a = j + 7k b = 2i - j +4k

Jaylyn Gibson 2022-08-07 Answered
Find the cross product a × b and verify that it is orthogonal to both a and b.
a = j + 7k
b = 2i - j +4k
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Answers (1)

Luna Wells
Answered 2022-08-08 Author has 19 answers
a × b = [ i j k 0 1 7 2 1 4 ] = 4 + 7 ) i ( 0 14 ) j + ( 0 2 ) k = 11 i + 14 j 2 k
if < a × b , a >= 0 then a × b orthogonal to a
<11i+14j-2k, 0i+j + 7k> =0+14-14 =0
if < a × b , b >= 0 then a × b orthogonal to b
<11i+14j-2k, 2i - j +4k> = 22-14-8 =0
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